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Finding the Fourth Proportional to 105,162, 145,136.28 and 59,850.99

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Solution

The fourth proportional to 105,162, 145,136.28 and 59,850.99 is: 82,601.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,162 : 145,136.28 = 59,850.99 : x
  2. Step 2: Convert to fraction form
    105,162/145,136.28 = 59,850.99/x
  3. Step 3: Cross multiply
    105,162x = 145,136.28 × 59,850.99
  4. Step 4: Simplify right side
    105,162x = 8,686,550,042.92
  5. Step 5: Solve for x
    x = 8,686,550,042.92/105,162
  6. Step 6: Final answer
    x = 82,601.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.